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# The average weight of 36 students in a class is 62 kgs. If the weight

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Math Expert
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Posts: 58333
The average weight of 36 students in a class is 62 kgs. If the weight  [#permalink]

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20 Feb 2019, 05:08
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Difficulty:

35% (medium)

Question Stats:

69% (01:51) correct 31% (02:01) wrong based on 36 sessions

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The average weight of 36 students in a class is 62 kgs. If the weight of the teacher is also included the average becomes 62.5 kgs. Find the weight of the teacher.

A. 80
B. 80.25
C. 80.5
D. 80.75
E. 81

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Posts: 115
Location: India
Re: The average weight of 36 students in a class is 62 kgs. If the weight  [#permalink]

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20 Feb 2019, 05:43
T= 37*62.5-(36*62)=80.5

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Re: The average weight of 36 students in a class is 62 kgs. If the weight  [#permalink]

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20 Feb 2019, 09:45
Bunuel wrote:
The average weight of 36 students in a class is 62 kgs. If the weight of the teacher is also included the average becomes 62.5 kgs. Find the weight of the teacher.

A. 80
B. 80.25
C. 80.5
D. 80.75
E. 81

36*62+ x = 62.5* 37
x= 80.5 IMO C
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Re: The average weight of 36 students in a class is 62 kgs. If the weight  [#permalink]

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21 Feb 2019, 03:06
T= 37*62.5-(36*62)=80.5
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Krunali Gokani
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Re: The average weight of 36 students in a class is 62 kgs. If the weight  [#permalink]

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21 Feb 2019, 10:49
Bunuel wrote:
The average weight of 36students in a class is 62 kgs. If the weight of the teacher is also included the average becomes 62.5 kgs. Find the weight of the teacher.

A. 80
B. 80.25
C. 80.5
D. 80.75
E. 81

36*62+x = 62.5* 37
x = 80.5
IMO C
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Re: The average weight of 36 students in a class is 62 kgs. If the weight  [#permalink]

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22 Feb 2019, 16:40
Bunuel wrote:
The average weight of 36 students in a class is 62 kgs. If the weight of the teacher is also included the average becomes 62.5 kgs. Find the weight of the teacher.

A. 80
B. 80.25
C. 80.5
D. 80.75
E. 81

We can let n = the weight of the teacher and create the equation:

(36 x 62 + n)/37 = 62.5

2232 + n = 2,312.5

n = 80.5

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Re: The average weight of 36 students in a class is 62 kgs. If the weight  [#permalink]

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23 Feb 2019, 00:20
Bunuel wrote:
The average weight of 36 students in a class is 62 kgs. If the weight of the teacher is also included the average becomes 62.5 kgs. Find the weight of the teacher.

A. 80
B. 80.25
C. 80.5
D. 80.75
E. 81

average increases form 62 to 62.5, so 0.5

total increase = 37 * .5 = 18.5

weight of the teacher= 62 + 18.5 = 80.5 = C the answer

thanks
Re: The average weight of 36 students in a class is 62 kgs. If the weight   [#permalink] 23 Feb 2019, 00:20
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